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Infrared transmission equations in a five media system: gas and liquid

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Abstract

Equations are proposed for transmission cells in the presence of multiple reflections and absorption which generate unwanted fringes. These influence adversely band intensity measurements. The infrared (IR) spectra generated with these equations are compared successfully with experimental spectra obtained with BaF2, ZnSe, and Si windows in parallel mount formation having μm range air gaps. Equations are extended for integration of a variable path length such as in wedge shaped cells that are used to mitigate fringe formations but generate other odd problems such as path length determination. These equations allow the evaluation of the transmission obtained from boxcar cells whose parallelism is a little offset. This phenomenon modifies the fringe intensities. The proposed equations were used to calculate the IR spectra of pure liquid D2O between BaF2 and ZnSe windows with path lengths of around 25 μm and compared with experimental spectra. Since the fit was very good it indicates that the proposed equations give better optical properties of pure liquids than that presently available. This is important for liquid used as standards and in particular water used here as reference.

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Author notes

  1. Jean-Joseph Max

    Present address: ITF Labs, 400 Montpellier, Montreal, QC, H4N 2G7, Canada

Authors and Affiliations

  1. Département de chimie–biologie, Université du Québec à Trois-Rivières, C.P. 500, Trois-Rivieres, QC, G9A 5H7, Canada

    Jean-Joseph Max & Camille Chapados

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  1. Jean-Joseph Max
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  2. Camille Chapados
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Correspondence to Camille Chapados.

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Max, JJ., Chapados, C. Infrared transmission equations in a five media system: gas and liquid. J Math Chem 47, 590–625 (2010). https://doi.org/10.1007/s10910-009-9587-4

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  • DOI: https://doi.org/10.1007/s10910-009-9587-4

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